Mathematical population genetics数学群体遗传学
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作者： Warren J. Ewens著
出 版 社：
出版时间： 2004-1-1字数：版次： 1页数： 417印刷时间： 2004/01/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780387201917包装： 精装内容简介
Population genetics occupies a central role in a number of important biological and social undertakings。It is fundamental to our understanding of evolutionary processes，of plant and animal breeding programs， and of various diseases of particular importance to mankind。
This is the first of a planned two-volume work discussing the mathematical aspects of population genetics， with an emphasis on the evolutionary theory。 This first volume draws heavily from the author’s classic 1979 edition， which appeared originally in Springer’s Biomathematics series。It has been revised and expanded to include recent topics which follow naturally from the treatment in the earlier edition，e.g。the theory of molecular population genetics。
This book will appeal to graduate students and researchers in mathematical biology and other mathematically-trained scientists looking to enter the field of population genetics。
目录
Preface vii
Introduction xvii
Historical Background
Biometricians, Saltationists and Mendelians
The Hardy-Weinberg Law
The Correlation Between Relatives
Evolution
The Deterministic Theory
Non-Random-Mating Populations
The Stochastic Theory
Evolved Genetic Phenomena
Modelling
Overall Evolutionary Theories
Technicalities and Generalizations
Introduction
Random Union of Gametes
Dioecious Populations
Multiple Alleles
Frequency-Dependent Selection
Fertility Selection
Continuous-Time Models
Non-Random-Mating Populations
The Fundamental Theorem of Natural Selection
Two Loci
Genetic Loads
Finite Markov Chains
Discrete Stochastic Models
Introduction
Wright-Fisher Model： Two Alleles
The Cannings（Exchangeable）Model： Two Alleles
Moran Models： Two Alleles
K-Allele Wright-Fisher Models
Infinitely Many Alleles Models
Introduction
The Wright-Fisher Infinitely Many Alleles Model
The Cannings Infinitely Many Alleles Model
The Moran Infinitely Many Alleles Model
The Effective Population Size
Frequency-Dependent Selection
Two Loci
Diffusion Theory
Introduction
The Forward and Backward Kolmogorov Equations
Fixation Probabilities
Absorption Time Properties
The Stationary Distribution
Conditional Processes
Diffusion Theory
Multi-dimensional Processes
Time Reversibility
Expectations of Functions of Diffusion Variables
Applications of Diffusion Theory
Introduction
No Selection or Mutation
Selection
Selection： Absorption Time Properties
One-Way Mutation
Two-Way Mutation
Diffusion Approximations and Boundary Conditions
Random Environments
Time-Reversal and Age Properties
Multi-Allele Diffusion Processes
Two Loci
Many Loci
Further Considerations
Molecular Population Genetics： Introduction
Looking Backward in Time： The Coalescent
Looking Backward： Testing the Neutral Theory
Looking Backward in Time： Population and Species Comparisons
Appendix A： Eigenvalue Calculations
Appendix B： Significance Levels for F
Appendix C： Means and Variances of F
References
Author Index
Subject Index
